Least Common Multiple of 8238/495, 8860/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8238/495, 8860/701 quickly i.e. 36494340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8238/495, 8860/701 is 36494340.

LCM(8238/495, 8860/701) = 36494340

LCM of 8238/495, 8860/701

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 8238/495,8860/701

Given numbers are 8238/495,8860/701

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 8238,8860

Least Common Multiple of Numerators i.e. LCM of 8238,8860 is 36494340.

GCF of Denominators means GCF of 495,701 as per the given fractions.

GCF of 495,701 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8238,8860

LCM of Fractions 8238/495,8860/701 is 36494340

2 8238, 8860
4119, 4430

∴ So the LCM of the given numbers is 2 x 4119 x 4430 = 36494340

Least Common Multiple of 8238,8860 with GCF Formula

Least Common Multiple of 8238,8860 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 8238,8860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8238,8860) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(8238,8860) x common factors =2 x 1 = 2

LCM(8238,8860) = ( 8238 × 8860 ) / 2

LCM(8238,8860) = 72988680 / 2

LCM(8238,8860) = 36494340


Lets's calculate GCF of 495,701

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36494340/1

Therefore the LCM of Fractions 8238/495,8860/701 is 36494340

Greatest Common Factor of 495,701 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,701 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Greatest Common Factor

We found the factors 495,701 . The biggest common factor number is the GCF number.
So the greatest common factor 495,701 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 8238/495, 8860/701

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 8238/495, 8860/701?

Answer: LCM of Numerators as per given numbers 8238/495, 8860/701 is

LCM of Numerators i.e. for 8238,8860 is 36494340

GCF of denominators i.e. for 495,701 is 1.

Thus, LCM of Fractions is 36494340.Finally, LCM of Fractions for 8238/495, 8860/701 is 36494340.